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Answer: 2i
Step-by-step explanation:
[tex]\frac{2+2i}{1-i}[/tex]
[tex]=\frac{\left(2\cdot \:1+2\left(-1\right)\right)+\left(2\cdot \:1-2\left(-1\right)\right)i}{1^2+\left(-1\right)^2}[/tex]
[tex]=\frac{4i}{2}[/tex]
[tex]=2i[/tex]